HOW TO CONSTRUCT FINITE-DIMENSIONAL BI-HAMILTONIAN SYSTEMS FROM SOLITON-EQUATIONS - JACOBI INTEGRABLE POTENTIALS

被引：48

作者：

ANTONOWICZ, M ^{[1
]}

RAUCHWOJCIECHOWSKI, S ^{[1
]}

机构：

[1] LINKOPING UNIV,DEPT MATH,S-58183 LINKOPING,SWEDEN

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1992年 / 33卷 / 06期

关键词：

D O I：

10.1063/1.529632

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A systematic method of constructing finite-dimensional integrable systems starting from a bi-Hamiltonian hierarchy of soliton equations is introduced. The existence of two Hamiltonian structures of the hierarchy leads to a bi-Hamiltonian formulation of the resulting finite-dimensional systems. The case of coupled KdV hierarchies is studied in detail. A surprising connection with separable Jacobi potentials is uncovered and described.

引用

页码：2115 / 2125

页数：11

共 22 条

[1] FACTORIZATION OF ENERGY-DEPENDENT SCHRODINGER-OPERATORS - MIURA MAPS AND MODIFIED SYSTEMS [J].